Yıl 2018, Cilt 47, Sayı 3, Sayfalar 659 - 673 2018-06-01
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Improved ratio type estimators of population mean based on median of a study variable and an auxiliary variable

Muhammad Irfan [1] , Maria Javed [2] , Muhammad Abid [3] , Zhengyan Lin [4]

31 124

This paper deals with efficient ratio type estimators for estimating finite population mean under simple random sampling scheme by using the knowledge of known median of a study and an auxiliary variable. Expressions for the bias and mean squared error of the proposed ratio type estimators are derived up to first order of approximation. It is found that our proposed estimators perform better as compared to the traditional ratio estimator, regression estimator, Subramani and Kumarapandiyan [23], Subramani and Prabavathy [24] and Yadav et al. [28] estimators. In addition, theoretical findings are veried with the help of real data sets.

Auxiliary variables, Bias, Eciency, Median, Mean squared error, Ratio estimators, RRMSE
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Birincil Dil en Matematik İstatistik Yazar: Muhammad Irfan (Sorumlu Yazar) Yazar: Maria Javed Yazar: Muhammad Abid Yazar: Zhengyan Lin
 Bibtex @araştırma makalesi { hujms440361, journal = {Hacettepe Journal of Mathematics and Statistics}, issn = {2651-477X}, eissn = {2651-477X}, address = {Hacettepe Üniversitesi}, year = {2018}, volume = {47}, pages = {659 - 673}, doi = {}, title = {Improved ratio type estimators of population mean based on median of a study variable and an auxiliary variable}, key = {cite}, author = {Irfan, Muhammad and Javed, Maria and Abid, Muhammad and Lin, Zhengyan} } APA Irfan, M , Javed, M , Abid, M , Lin, Z . (2018). Improved ratio type estimators of population mean based on median of a study variable and an auxiliary variable. Hacettepe Journal of Mathematics and Statistics, 47 (3), 659-673. Retrieved from http://dergipark.gov.tr/hujms/issue/38121/440361 MLA Irfan, M , Javed, M , Abid, M , Lin, Z . "Improved ratio type estimators of population mean based on median of a study variable and an auxiliary variable". Hacettepe Journal of Mathematics and Statistics 47 (2018): 659-673 Chicago Irfan, M , Javed, M , Abid, M , Lin, Z . "Improved ratio type estimators of population mean based on median of a study variable and an auxiliary variable". Hacettepe Journal of Mathematics and Statistics 47 (2018): 659-673 RIS TY - JOUR T1 - Improved ratio type estimators of population mean based on median of a study variable and an auxiliary variable AU - Muhammad Irfan , Maria Javed , Muhammad Abid , Zhengyan Lin Y1 - 2018 PY - 2018 N1 - DO - T2 - Hacettepe Journal of Mathematics and Statistics JF - Journal JO - JOR SP - 659 EP - 673 VL - 47 IS - 3 SN - 2651-477X-2651-477X M3 - UR - Y2 - 2016 ER - EndNote %0 Hacettepe Journal of Mathematics and Statistics Improved ratio type estimators of population mean based on median of a study variable and an auxiliary variable %A Muhammad Irfan , Maria Javed , Muhammad Abid , Zhengyan Lin %T Improved ratio type estimators of population mean based on median of a study variable and an auxiliary variable %D 2018 %J Hacettepe Journal of Mathematics and Statistics %P 2651-477X-2651-477X %V 47 %N 3 %R %U ISNAD Irfan, Muhammad , Javed, Maria , Abid, Muhammad , Lin, Zhengyan . "Improved ratio type estimators of population mean based on median of a study variable and an auxiliary variable". Hacettepe Journal of Mathematics and Statistics 47 / 3 (Haziran 2018): 659-673.